Question

Debbie ran four time trials. First she ran 2/6 of a mile. Then on each of the next three trials she ran 2/6 of a mile from her previous distance. Draw a model or number line to represent one of Debbie’s runs.

Answer 1

Answer: The number line which represents Debbie's run is shown in number line below.

Step-by-step explanation:

Consider a number line in which each interval is of 1 mile.

Since the denominator of given fraction is 6 .Mark 5 points between 0 and 1 , so that the 6 th point will be 1.

Then mark first interval 0 to 2nd point which shows she run 2/6 of a mile.

Similarly mark second interval 2nd to 4th point and third interval 4th to 6th point which is ultimately the 1 mile point and each interval is of 2/6 of mile.

[because each interval has 2 points out of 6 points]

Answer 2

Answer: The number is attached herewith.

Step-by-step explanation: Given that Debbie ran four times trial where she ran two-sixth of a mile in the first time. Also, in each of the next three trials, she ran two-sixth of a mile from her previous distance.

So, total distance covered by her is given by

$d=\dfrac{2}{6}+\dfrac{2}{6}+\dfrac{2}{6}+\dfrac{2}{6}\\\\\Rightarrow d=\dfrac{2+2+2+2}{6}\\\\\Rightarrow d=\dfrac{8}{6}\\\\\Rightarrow d=\dfrac{4}{3}\\\\\Rightarrow d=1\dfrac{1}{3}.$

Thus, she covers total of 1 and 1/3 of miles.

This is shown in the figure attached, where the number line is shown. She reached at the point A first starting from 0, then consecutively to point B, C and finally D.